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Simplifying (5X2 + -7X + 21) + (6X2 + 9X) = 0 Reorder the terms: (21 + -7X + 5X2) + (6X2 + 9X) = 0 Remove parenthesis around (21 + -7X + 5X2) 21 + -7X + 5X2 + (6X2 + 9X) = 0 Reorder the terms: 21 + -7X + 5X2 + (9X + 6X2) = 0 Remove parenthesis around (9X + 6X2) 21 + -7X + 5X2 + 9X + 6X2 = 0 Reorder the terms: 21 + -7X + 9X + 5X2 + 6X2 = 0 Combine like terms: -7X + 9X = 2X 21 + 2X + 5X2 + 6X2 = 0 Combine like terms: 5X2 + 6X2 = 11X2 21 + 2X + 11X2 = 0 Solving 21 + 2X + 11X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.909090909 + 0.1818181818X + X2 = 0 Move the constant term to the right: Add '-1.909090909' to each side of the equation. 1.909090909 + 0.1818181818X + -1.909090909 + X2 = 0 + -1.909090909 Reorder the terms: 1.909090909 + -1.909090909 + 0.1818181818X + X2 = 0 + -1.909090909 Combine like terms: 1.909090909 + -1.909090909 = 0.000000000 0.000000000 + 0.1818181818X + X2 = 0 + -1.909090909 0.1818181818X + X2 = 0 + -1.909090909 Combine like terms: 0 + -1.909090909 = -1.909090909 0.1818181818X + X2 = -1.909090909 The X term is 0.1818181818X. Take half its coefficient (0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. 0.1818181818X + 0.008264462808 + X2 = -1.909090909 + 0.008264462808 Reorder the terms: 0.008264462808 + 0.1818181818X + X2 = -1.909090909 + 0.008264462808 Combine like terms: -1.909090909 + 0.008264462808 = -1.900826446192 0.008264462808 + 0.1818181818X + X2 = -1.900826446192 Factor a perfect square on the left side: (X + 0.0909090909)(X + 0.0909090909) = -1.900826446192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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